7877349680 has 80 divisors (see below), whose sum is σ = 19069591968. Its totient is φ = 3023616000.

The previous prime is 7877349679. The next prime is 7877349743. The reversal of 7877349680 is 869437787.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7877349680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180395 + ... + 219765.

Almost surely, 2^7877349680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7877349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534795984).

7877349680 is an abundant number, since it is smaller than the sum of its proper divisors (11192242288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7877349680 is a wasteful number, since it uses less digits than its factorization.

7877349680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39486 (or 39480 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 59.

The square root of 7877349680 is about 88754.4347061036. The cubic root of 7877349680 is about 1989.7264575232.

The spelling of 7877349680 in words is "seven billion, eight hundred seventy-seven million, three hundred forty-nine thousand, six hundred eighty".